Sample curriculum: Ph.D. in Mechanical Engineering and M.A. in Physics:
Graduate students enrolled in the ME Ph.D. program can apply to receive a M.S. in Physics after fulfilling the Physics requirements for Masters of Science. These are a total of 6 one-semester graduate-level courses (171.415, 416 included), if a student can waive the prerequisite undergraduate courses.
Assuming that a student would have to take 2 prerequisite undergraduate courses, a possible sequence would be:
171.303 Introduction to Quantum Mechanics
171.312 Statististical Physics and Thermodynamics
171.415 Mathematical Methods for Physicists
171.601 Theoretical Mechanics
171.603 Electromagnetic Theory
171.605 Quantum Mechanics
171.626 Statistical Methods for Physics and Astronomy
171.703 Statistical Mechanics
With these (or equivalent set) of courses the student can petition the Physics and Astronomy Department for award of a M.S. degree in Physics.
Completion of Ph.D. thesis in ME requires additional courses according to ME rules